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12103100021322 = 23217933116217001
BaseRepresentation
bin1011000000011111100011…
…1110100011101001001010
31120212001012211221211211200
42300013320332203221022
53041244122101140242
641424030513205030
72356264046515032
oct260077076435112
946761184854750
1012103100021322
1139469944868a2
1214357b3860776
1369a418533c6b
142dbb166408c2
1515ec693aa04c
hexb01f8fa3a4a

12103100021322 has 96 divisors (see below), whose sum is σ = 26469647156160. Its totient is φ = 3996669600000.

The previous prime is 12103100021273. The next prime is 12103100021359. The reversal of 12103100021322 is 22312000130121.

12103100021322 is a `hidden beast` number, since 1 + 2 + 10 + 310 + 0 + 0 + 21 + 322 = 666.

12103100021322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121031000213222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12103100021295 and 12103100021304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728763822 + ... + 1728770822.

It is an arithmetic number, because the mean of its divisors is an integer number (275725491210).

Almost surely, 212103100021322 is an apocalyptic number.

12103100021322 is an abundant number, since it is smaller than the sum of its proper divisors (14366547134838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12103100021322 is a wasteful number, since it uses less digits than its factorization.

12103100021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12103100021322 its reverse (22312000130121), we get a palindrome (34415100151443).

The spelling of 12103100021322 in words is "twelve trillion, one hundred three billion, one hundred million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 179 331 358 537 662 993 1074 1611 1621 1986 2979 3222 3242 4863 5958 7001 9726 14002 14589 21003 29178 42006 59249 63009 118498 126018 177747 290159 355494 533241 536551 580318 870477 1066482 1073102 1253179 1609653 1740954 2317331 2506358 2611431 3219306 3759537 4634662 4828959 5222862 6951993 7519074 9657918 11278611 11348621 13903986 20855979 22557222 22697242 34045863 41711958 68091726 96042629 102137589 192085258 204275178 288127887 414802249 576255774 829604498 864383661 1244406747 1728767322 2031403159 2488813494 3733220241 3756393551 4062806318 6094209477 7466440482 7512787102 11269180653 12188418954 18282628431 22538361306 33807541959 36565256862 67615083918 672394445629 1344788891258 2017183336887 4034366673774 6051550010661 12103100021322